{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Basic SPECT reconstruction example\n",
    "\n",
    "To run the code below:\n",
    "\n",
    "1. Click on the cell to select it.\n",
    "2. Press `SHIFT+ENTER` on your keyboard or press the play button (<button class='fa fa-play icon-play btn btn-xs btn-default'></button>) in the toolbar above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "from occiput.Reconstruction.SPECT import SPECT_Static_Scan \n",
    "%pylab inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "spect = SPECT_Static_Scan()\n",
    "\n",
    "spect.set_n_pixels(128,128)\n",
    "spect.set_gantry_angular_positions(0.0, 360.0, 59) \n",
    "spect.load_measurement_from_file('../data/spect/projection.nii')\n",
    "spect.load_attenuation_from_file('../data/spect/attenuation.nii')\n",
    "spect.set_pixel_size(4.8,4.8)\n",
    "spect.set_radius(200.0)\n",
    "spect.set_psf(fwhm0_mm=5.0, depth_dependence=0.0001)\n",
    "\n",
    "spect.set_use_gpu(True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Let's give a look at the input data "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QQvZFNB9hKOwIpN5NzE16cxNzT6xGE/bcBNoLifSEU43QwnNSHj/MP/UuZkk9vDRzx8xm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\nSxXS+N6ADanV0FsNodUwXM3HXhP9wXctMeTVrvhqP32CK/nitdP0tb3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QWA5i7Ac9mkzn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\nU21vcdEsU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      "text/plain": [
       "<matplotlib.figure.Figure at 0x619fc10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=[18,6])\n",
    "subplot(1,2,1); imshow(spect._measurement[:,:,10],cmap='gray');\n",
    "subplot(1,2,2); imshow(spect._attenuation[64,:,:],cmap='gray');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Reconstruction !"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "        "
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reconstruction method: EM\n"
     ]
    },
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "$('div#5836397f-3b6e-4ff6-a817-baa5c9520a23').width('100%')"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "activity = spect.estimate_activity(iterations=10, subset_size=16, subset_mode='random', method='EM') "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x95a4610>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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2AgDUyLIBnCzu8989U1jjw8yYUGOzFtvWzA6d6tVqm58Xv2N7VJu1DdnvWhv1\nd9Y+4t7VBANhxSmlVF8N5sLkx9XcQRW+LDDtOZ7+rSuHxyBZF4DRYFPFNxvpivv1t9mHr3aMf8dR\nLQ2MNTj3890YiPVHcY/XFNuXmSkRAl+A5aQVVI01DzITQAMys/baMJnW6PGqxbU2a7AZ1xuIehnr\niMf6t2cZqGnQmveb6Xx8/mRv2MmeC2gqwPpQ05AxI+Ua28b4udUZ1jfm6BvI1FDw+LFlqMa/Y1mx\nvWqgtmhpYc0oqNXbemZFk1ezw7J+BiwvGAgrTgy2amsJ1NzRliGQOazZK7liEJo5l16Wp3hlix1m\nmQRZoBinSsRj9LWOcYpGFMEo1mdnZzNjIT4E/Hx/CCixzOye4cQCrB6ZeZB17HXNAzV2s3PMzmeH\njW2TH68ZAZlGtUbfYtCXBb46yqbPhWggZMFyZiJkuh/bFQ2ElplBwAoAZuPS7TOzV2PB7DyNrb2u\n1hsc1FStvTUsM4Bd17JFHP3YnrGgBrNuz77j9WYDk2oiEPOuLhgIK4gGVa3Rev87BpQatEWROT09\nnbmxvi3r9KvgxHap2GTETrsKUywruyYNGNUFrjnUMfMgE754jAfELpK+PxoR8Zjs4QQAq00rKM20\nQDvPmsHkvx3VKS1LR6+8/Li9NoIV25dNSfBydGEvPy5qoGYg1EbfWs+s7B7VdBXTAGC9GBNTZXGp\n2flpV2q+npycpHrt2qYGg+pjRGPNzBSotVHr1lgzXqcfH/VSqQ0SqsZm35kxnZV5kXgX3V4uMBBW\nGHU4zeqBqAtmTcCi26nTDjIDwex8cKvn90QlCwo180EDc6+nVU7NQIgBd62NmYEQ72XNQND7HduF\nYAKsFqqtmXlQ0xjt+GdmQy0QjmXURqdi+THwrelmLC+WYfZhAJ0FqScnJ7MFxPxTyzLojbr1vj1d\nNqbNansAYD2p6bETB7fioFAp8+tY6bmuVzqFIe4bM8Cm8asepwNvUS9dWzP9VhOhxlidVK3WeFyP\n0WvNzIVau2HxwUBYQTKRqQVjkdroj++rdfizMuMcKd9XE5isrFbbeow5Vg2DuE2Pi8aK3tMYpMcH\ngD40MqcWAFaLLFCNv7PgVc+tnZcdp3VGWgGl7291tv1YHdmqoZp4cnIyZyLoegexzpp5ULveaL7W\nDFq9ZoJSgPVEO+AZNTNXB6tqa4lFo6FVpm/Xv9WkyPZH4zbL2HoeGqfXlBnJ2TXpMfH69L6izcsJ\nBsKKo4GxTB4wAAAgAElEQVRZb8QrCyJVPONxvi06knGkLYpttjaBCoqXGf/O0sD079je3t9qBmSj\nZ94Ob3c0EWIA7G3R+xOvM16riijuK8BqkQV/2TFqFPh3tjCVnpMZCmb5yttxX9QX/52t5aLn+Tlq\nCnt74xo2bhacnJzYdDpNsw9Ue2tZbJlJovdATQTdR6AKsPq0BrmyYzPNaA2S1eLaGBPqegfZ4FOr\nHX6O79MpaC0NzQauXjSq1zfZFnj+YCCsKDFg0g6vBlj+rf/QWwGdmhHZCJs6trX1C7IRpEyAekaH\nGhS1tmu9rW3+UIj1e7Cs9UTzIBNy/e9Qg0AXYLlpdf4japz2AtiWOZGde1H9i8fWDFANWOO0rtPT\n01nWQZaBEM/LAuHac0qvobY4V3aftEy0FQDM6plhNW3JXrMbNSWbeqZltEzerE4zm03N8vOyTC2n\nV+5F29DD21F7dmWxfm0/LBcYCGuCuq2+gnWWwu8dZA3CNHg0s3OjUfFYR0fVIroQodanabF6XtY2\nnbLRckGz0Tw9P/7twbDemziaFxcMy+5fSzARU4DlohV01rbHoGtsIFnrFJudX7OlFSBm5m42Eqa6\nqIZB1Oe4zkE0EDI9zEzhloGQZR+ovuvxGAUA0NKQlnmgf9fWB8uOVTPByeLnlpnq5Wm7x1xvLTb2\nfdkxsYwa8dxam2v7smtHo5cbDIQVJLqB2T9gf/1KTF2tdf59m+6Ldah49jrssdxoDKgYx9F+pzYN\nwoPYnvhpm7KAUwPqeK4HxZkh4m3L5vLGBwUArAZjzYNWBkJ2fqZTtf1aR2YeZCNh2qYxQWTUtrhI\nWFzMS42E1nxdfQZkBkJsT2uhXH8mYSIAQCTT3pa50Dom7tO3hJnVM3ez7b21DFTbIy3DNasvMw8y\nYmzfImtzrd/R6hPA8oKBsGbEf8BZ9kDWwddOsIpTT5CyObDZSJlvj1MGYpuyB0Bsk15PTVxrQXu8\nbn3bRDwnM070nsV6tf5YHgCsDhp8XrWcWnBbMzhjJ7rWnlYwrPUoscPfMg+y1zb2TAQvX+uLga/r\ncmZg6xsYWvcW/QVYH7I41uz8a8KzOE2PjRqone2sk1/T7VaHOjsu0139qM5qmVreGFqmdxYf63Mp\nloP2rhYYCGtAy93013h5UBbP8e9WhsDm5uacAGeiVRuRd6Iot9xe/TuKagwia2m5WRmxnbUyL2Ii\n1MSRUTGA9UD1YayRoPqa6ZV38nV6lG/LguHM0NRys+9Ydvx7jIlQm+oQf2t5WX0ZNbPEzM6ZCzXQ\nYYD1JMa0wzD/li2dSquZUdkovw5KaQZA1O2aaVrb7m920E9crFa1OLa3Vf4Yshg5u5+tOLtVprYV\nlgsMhBUm+4cZO7pZkOtiFwPA7PxevWpA6FSETESyNnl7sg56FgRmHfosIK4JqQa4+qCIRou2Wa8l\nq/sigTIALC+qqRcxFWqjYtEoNcuDt8yIiJ3tVgBXMxEyw0ADWj0mC1xrga22w/+umdL6yUybWpAP\nAOuBakxNI5Us9ozbvexYTzymRWvATctTc8LMZoN+vi1ba0Hb5H+P0cCagZ21MdNzP7d1fy9qZMBi\ncmkDoZRyz8z+mpn9DjPbNrP/0Mz+qZn9nJm9YWbvmNkfH4bh/jW0Ey5JK3Azy0fLstGr2qh7LSCN\ndXhAWSs/MwGia6sd93iMB626Kq63w/fV2pcFsC3jJRos8XitV8torZoLcBXQ4sUg07exAWtWjv7O\n9qtmZdqpAWj8rc+F2mK3mYHQSp0dYyTUAnCtN15HfGa0nh1j7nd2DwAuCzq8HLg+Zm9R8P3xmHhO\npisaB/rx8dupveY76mZsg9YV2xAH+mLWl/+O5/fW38qeMRlqxtY0vZUJNkb3YTnY6B9S5a+Z2d8d\nhuFfNrPfZWZfMrMfMbN/MAzD7zazX372N9wA2T/SKIKtla9rrquK2Zhg2OvvdaCzsjKh1+2113nF\ndo9pk6aA9crsudC1OjER4DmAFi8Yrg+ZTrU6uXGbBqxx++bmpm1ubtpkMpn91rpq2mlWT3GtBZp6\nzBhzoGbQZuWOpWdExHsYg3+AFwA6vEC04r+xZm/PjGwdm8WnmSbGT+sZEct07Xf9j88Bn1bcM6Lj\nNVzknsZr0e3ZNlhdLpWBUEp51cx+zzAMf8zMbBiGMzN7WEr5HjP7zmeH/ZSZ/Z9m9gPX0VC4OFGo\n1FE1O/9GA98/mUxsGOZf55h1nDPRq7m02q747WSBbnYttdE2vd5SPlzjIcsWcCe15Rpni3LVxF3r\nj9+YBvA8QIsXlyyQHBugqong22rGaRy9Uo1zbYr7/LeO6mfntIyCi5gJsc6r6GGtfA2047Z4LsB1\ngw7fPLX4MdNX1y41GVuxa0tvYl1xXbCaUZAZtrVYMWtPbG+c0uDnx21ZvH2Rga+eEZD1Dfxb+wR+\nfLxmNHl5uewUhn/RzL5ZSvlbZvY7zeyzZvafmdlrwzC8b2Y2DMN7pZTXr6eZcB1kne1ap1tf8VhL\n9/KyaoGbClVLMDKh0Y55Fhx7Kle8rlieBtbxumrbsyBb9+uq5XFV3pbpEO8HwBVBixeMzBiIHf6Y\nIRCP99/+Xctc8BGoLB02ZlHpu8vjsapvqtMxsK0thtgzC7RtylX1T4PzljFDwArPGXR4QRhjHmSD\nUdn0LY39sng56rAu4h3jQjVcWws01q5Ht3vsGwfKojkyDMPcd28qw0XupT6XIrGOzDzQ2BtNXk4u\nO4Vhw8z+NTP774dh+JSZ7ZnZf31trYJroRbU+TwpDbo0SNTA18s0y1NtY53ZlIAoHjEIjim5ukBM\nFkjHFb9r4qtCmYm+O8WtUTG9nswQideh4hrNjMlkkh4DcAXQ4htCAygNpFpGQk3bHA1UM52Maawx\nlXVra8smk0mqL1mwp9vjM0C/9VmgGQgtajrb08HW/lqdtWAc4DmBDi8JNW3IYr0shtY4OZbbKt/3\nxSkIOhXB49FsnRmPeU9OTtL1Z7JssOyas4+2Md4TvT/ZNeu9qZk0sFpc1kD4qpl9bRiG33j298+b\n2e8xs3dLKR8zMyulvGZm7169iXBVMiHszXU1q09dqO1zsqBSj4mpuDE4rgXY2tnPylcjJNabBePR\nKdaVbOO96AmzmiGZqEajgcAWrhG0+AZomYA1I0H1rhfImc0bkNn8VzUP4t9ZtpmWXWtDLSiN11wL\nuK9yP8dsH2M46PWgt/CcQYeXiEzvxsR7TquD3quzto5BnGJcMweyV+XW9vX0uGeA67XWrrl2XO08\nWB0uZSAMw/BVM3uvlPI7nm36bjP7LXu6SMxnnm37jJn90pVbCJdCHUGz9hSGKDxmH46Y+6h59snE\nNwalTs3t9X3xmNjGeJwfEzvhMbiOjm7cp2XHv3vXUgusayZCK2jtiTTAZUCLF5fa6M6YILPVsY8G\ncM3Q7RkUrcAuC6bHBIRXDRpbI2Gte5Pta5XTqxfgoqDDy0dNO3rx6kXjuGzR22zx26jd2cK4tSkW\ntQGweI36O7u2i+r2RZ4JsR79DcvLpV/jaGZ/ysx+upRy28z+mZn9CTMrZvZzpZT/yMy+bmbff/Um\nwmXRf6StYFSPccGK+2NgGuuopXJFfP5V6+0PKnbxmNieuE+NADOzk5OTdA2H2DYVa7MPpz3EY6Mj\nHK85u7fePr0nNUMhI/63ARgJWrxkqIbWOsO68K3qddxf63BHXYrlKLqttkBi63r0uKuaCLXtmQHc\n01d/bmQaq6YzwCVAh5eMmtkaqQ1GqY7UdMVs3Osb47GZdsfYN1uXJrZPr7Gnb1Gvs2NbJrS3PV5j\n7Tqv8myAxePSBsIwDP/Yns75Uv7Q5ZsD103LOR0TEJp9+E7X2sJd8e9MaHRxwd5IUTQIYsBXytMM\nhDgyFhck833ZCtwt17hmFOh90O2tgLwW0F7EuQYYA1p8s4wxBn1fpkO983WEyAO2qH/ZOZnexudB\nplmqab0gr6dn12GIZqZv6+PpvNm1twJpTAS4CujwchJjzEjWWc7O9e21jrTGtS2difrsWuZ/e/la\nRs3c7WUIXJfWqT6joevDVTIQYAHpjXrX3NU4wp8JgDqi2eKIUUDj9iyTQEfWtLNfqz+22bfrwoRa\nbva6niwDwtPGssUSY3aCH+P475r5cJkguuWCA8DNcxkjUPVK92VmQa3OTC9r2VE6EtYzE+KxvREz\nradlDl8G1fZoGMdUX31GaBsJbgEg61BHwzFb6Frjxhj/OjHmrcW2qqFaZqbJFxm91/Kz6WfZttjW\n1n1TLc7WL4vti0bIWCMFjV4eMBDWhGwkPo7wx9GbbD5VFFdNoTWzudGweKzv0zI0iFYDIRNKPycK\nYLb2gApZzRiJ1x/b61MgssA8HudvgeiJcW+UbgwEvwCLS8+o1eC0NlqTaY4HfapjmRmh5aq2ZQZC\nLZjLnhU98yCaDmos12hlBGg7dAGyaCDE68I8AIBe5kCM/2Ks6KgpqhkHWTysWhM73lkn3rfHOLmX\nTVC71uztDGPNg0hv0CvqsWuwPvcyMxnzYLXAQFhBWqM/2gnOOuEaBMYyXOR8uoAf5wKS1eFrDKgY\na2Aa6/NyaiNj0UCI7dVrdsMhuy/Zg2IYhrnXQ8bpG+qiZqKp7b4O8yC2EYEFWGxaHXENqlQb4gh7\n9p2Vl8091Tp0hF7n1uqImBIzz2K9Uef0erNMLtV61Xy9b7E8NQ/iAr+ZaTLmWQIAq08W68XfavDq\nOgQ1DddM2jgaX2uHdqB7euiDWaenp9UM4JrW1YxhNTVqZM+pVhwd/+6ZFLX60OnlAQNhxcgCOSeK\nihsAMdjUwDB2oqOBENcbcCHz0SB/k4PXoW2JgqTi0go29fqi+6kLNGpAqS5x6x7pPDO9zuzBkxHv\na2ZwXBYEFmBx0eCwFqwqGpDq4oBqAMTtUWe9DTFA1DVhVO/cNI26d5GAW68j1qVzeFuGcYYG9XE1\nc3/mxOvOdBoAwCw3c317zbTN9DeWFePjqFGRLJ7V7AN9bijR6M2OrcXTLROhtj8ep9erbRrLWDOB\nGHd5wEBYUWr/0Gud8uikxkUPY1CWTReoiVc8rvaKGW2nlhnL1tF/XczRUaHXa/HjW86tGwdxn66h\noOe7caFt1XufnQsAq0Gt45oFn7ovdpKzQLemvVk92XSvWrvM5k2GWvaUmhyZnnmd2Taz/qhUq76Y\ngaBTF1pmdEuLIwStAKtB699yK0Ms7s8G17J4MepdLM/J3maj7WjptJoPY0f2a7H1Rc6rodcx1hjA\nHFgtMBBWnNqoftwXA9csHSkaAJq2HwUhe52jirKe43/Hbz8+GgX6xoWsfbrfsyFi2XrN8b7E4z04\nrQXJ8Xw1UbxNWVCLeAKsB7VALDMCYqe/tl+PcWqBbuy864h/FqzWys2uKU5LyxZ6rJnGNQ3MngHx\nuaQmgq6jUxvZq7VhzDYAWD5aupXFp7qOTIxno8Ga6XnMetWFE2N5HltmcaEfkw3CeR21NQ1qRqn+\nrQsZKr37FWP27DlSM29htcFAWFFqIho75C6gcUGqeGyccxWDVN8fj+3RO0aDV13MJh6TmQS17Ij4\niQKs7dGAOgat0czI2nCR682cbABYbmqaon9rRz77jsFZ9jtqWVz0NgZ5Wl40d2sd+EyDM1M4Hp9p\noK6TEM/Nrj8zTbz+3pQOvx7NesiurwYBL8BqkGlri0x7LmMwaqc+LsLdykBQoyEzBXqma3YdrWuP\nz4nW9ejffl52n7LMiawNPXMXlgsMhBUm/iONi0/p62Imk4ltbW3NZRe4AOraAbEz7tu8fD1eR/uz\nQDQTzLhieBzRr80D1nNjmyaTydwxLuRZ/frgia6yX7M6zbGMmA2RiXhrKgcALBe1ADD+zrTBUW2J\nxoBqVtTdWJ4v+JrpTdymr6etBXBqtmYBbC9zQctxQ7Y2+qfmQLw/+opG1WgP1jULIx4T69RrAIDV\n4KrmQRb/ebnREMgGkqJZcHJykhoSrbZlU7wy81inmkVtbpmomcGt+/XejDEtxpSv7UR7VwcMhDXB\ng7hoILjQZAaCiqiWpW5k7Pifnp52z8nmrtYE3Tv9mrZaC1pbBoAaIHp+RM2CYRhmc29rqVtxOkX2\nEOi5wwCwXGT/zntGQmbCqpZkQWAs07VGA8fWVAg1UB01eWMQm5kIsd1ZPap32bH+TMpMAjUXavc9\npva2zAOl9gwAgOVF46uauan7a+dF7VNzU4+L2b2ttmTGc/xdyzjIyqlpX6yn1nHPnju1Nqmmt+gZ\nCVkdsJxgIKwRPiKv/5C1Ux4Dt1p2gP/t4hUDQDcidCHCeF6cQ+tTJbRs3xaD3mg8aDmZgGZ/10YO\n9ePn6ndNeGviqsddRTgRXYDloKYPWWdfz8uMx7g/02VN8deyNbCNGlebW5vpnZohmV76s6O2krk+\nZ7IV0OP2aJiogXJVYxYzAWD5aRkF/nct7htbbmYKaKaUnqu6WjMPanVoW1V/PRPNM7HitLZ47thr\n7F1/bGOm5Wo+X1aXYfHBQFgDYmc7MxAyQXRRjNkKcaFF/6gTGwNH79xrgBn3xfO8bE8X822ZSxzr\nzwQ+mh/RiMiCXS9P56plpoQG374vK9PLze5zpOUE18oCgMWnZSK0FkTMDMxsVMn3ZVqpJnBWhnb4\nNQDd2Niwk5OTNNiuma6xTS2joGUa+LXoWjf62kk1eC8LJgLA6tIbMGrFbWb5G8i83Dg9ONMhXf+g\nNgrfGvBSwzZ+u4HQWmuhptMXuW+xbS0TWM/DRFhdMBDWiJYjqEFr7OBrZ12PjaKhnXb9reVvbGzY\n1tbWTIx8+oPXp+fFtuv0gmhcbG5uzkRVTYoofFFwszUXNK1XA02/J+5AR/HOxL4lpgSxAKtH1rlW\nY2BsOaq9UatiIBz3RbLjzOYX+sqmbfkxUdti26NW67NBdVcNlMxYiH9roJ+NrsX2t1Y7B4D1IuvM\nxjhWB4xqJkCWYWD24eBTXCch1tt780Kr0x/Lj9/xXDVX/ZxYTs+86N23eI4O4rWMiex+wOqAgbBm\n1JxBdWJjZoGuxO37szmqWWCswWUWQPqxPtoV5+lq4BlHppwYSG9tbdlkMrHpdGrT6XQuEPX2TCYT\nm0wmdnJyMqszlhXb6QFrNDdikDyZTGbmRzwmppaNeUj1iP+tAGA50A5wNoqjgV+rLLP54NS/1RyI\nBoLWpwZCXLcmmgjxt2uhmrJRV6PhrAZCNoqnhkFmMujzQO9pNA10JE6P7d1XAFgNxpi2Wdxbi88y\nI1gHi7L4uqdftU88Nptiphqo59bKbGlha3AxGti1NmhcXisLVgMMhDVDA8nYsVcxUKdWA9+4AFZW\nT/ytgWAMKn3qgougL/SYBZRZ+bHdbiDEMjVgNbPZayvj9UVUZLPgfBiGc/dAg3cv3wP0WircWBBf\ngMWnF+D1OrRZeVn5ZvPZA5nJmJkHNQ3yY1Q3XftiVpkaI66nYw2E+AyKZnJss19f1k69hl4gnt3H\n2jYAWD0yXWhpi/5d+3jZWqbGnWPQAbvLmAfxWmv7tc21a9AyY7x80ecYrBYYCGtE1nHXzvnJycnc\nqLmnZXnnPAahfn42lcDr828fvTKz2XyxWL8vABOnAvjHswXM5hcC0yA2Brnevq2trVm7MuFvvVUh\nZhRosJvVpw+JzCDQ+30REwGhBlgMYiAVv3VfNEwzg1anGDganGaj/tkoVTQ6M/M1MxFifTHgdP2P\n9ccyYhAZy1Vt1GdNNl1Bs9n83uj9UZ3NMhjG/vcDgNUhM011v+uamc3pRjadKpaT6VTcrvXqPq3b\nj810PB7f+2RZVj0jdYyJnQ2q6fW1tvn2sdTqg8UGA2HFUVH1YM478J5+74Loaf+e2q+d5UxMa6NA\n2g4PSL1j74vOxPNjEDqdTu309NS2trZsZ2fHhuHDd3573RpkZgZBdHTjwyGaImYfOr3+93Q6nbuH\nMRjWe6JBtZenD6LMtAGA5SMzD+I+/3bt0ywBDcKybbVRoDFBYabPWXDr1xC1MprH0ZjwclXfs2dA\nL/BWUyHLZmsFuNmndv/HlAkAq0UWl6pO1rREY9LWMS3DweuPpnHW2Y4mbqvNLXMgnue/dZ8yRg97\nsaq2/zKxLSbC8oGBsOJk/yg3Np6uAbC1tTX7eGf++PjYjo+PZwaCds79u/XZ2Hi6HoCf74GhZzV4\nsBgXavRtsc2+EOL29rZtb2+b2fxiiWY2qye6yCrqHgyrYZAFvfFa/R7FNQxi+9RAUNE8OTmx4+Pj\n2bWb2bnMizH/vQBgOagFc9FEcK2I2lrTJadm0Ebda43sx+2uvXEKVzQ4XPu1bbWRp/i3ZiW0NDa7\nP7E8XWk8W+MgW0As+2+BpgKsD2PMAj8uLqLt29RcjTGfxon+rZm42YKHtekJ8fzYxuycXgZBFgO3\n9K8Xc7YM73gdev16LbGceE/1HFgeMBBWmFoH1TMAdnZ2Zp3z7e1t29jYsKOjo9kChL64YBbQKh5k\nuhlxcnJiBwcHdnJyMjMpYraAdqB99Mvb6MZDNBCi4PjvuEiivkbHg+RohqhDrE5tdE8nk0m6MGJt\npE8d5+Pj41l9fi9j1of+d9JrA4DloZaJkHWSM4MgG+nyfVqe//b9NSM3mpWuPdE8jiarmweuqV6H\nl6FBXwx4Y3tq9yY7phUI+zY1CrLfY0fnAGA9GKMDcSAoDk61DNC4L069NTuv1ZkJWuv0x4G2WIZm\nJmjZamjE55Bn6Y4xCWrtyr6ze6jPv/gcivcS82B1wEBYUVrmwa1bt+yll16yW7du2c7Ojt26dctu\n3bplW1tbdnR0ZIeHh7PvYRjmpjt4pzrrkMdgdTqd2u7urp2ens6MiiigGvzGUa8Y1A7DYNvb2+eC\nXT8+CqWLuJft7Z5Op3Z8fDw3H1mDeC8zHuPX6eWbfbhGhF5Ddu99McfJZGJHR0dz91KzEPTBg4kA\nsJxkI1St0ateGS2dqZkGbhK4Zk8mE9ve3radnZ3Zx7O6XH+n06kdHR3ZwcHB3HQC1+1oetaCYR1l\nyq45ZkR4Wdk9qpkO2b3SIL21cBgArD41fc0MWt2WoUawmc0t1m2WL/gatSgOkmVmg2qX6+SYmLCW\nLTHGRIm/tZzad7yOGFNH3c70XH/D8oKBsAZEcdzc3LTd3V17+eWXbXd3127dumW3b9+2O3fu2M7O\njh0dHdnR0ZHt7+/b/v6+DcNgW1tbtr29bbu7u7a7u2uHh4d2cHBw7o0K/vaEYXiaGXB4eGhnZ2e2\nu7s7W8Mgdv69Q+2ZD0dHR2Y2nzIbp1vETvyTJ0/s+Ph4FhTr2gaxs+5l+/oL2cPj5OTEDg8P7eTk\nZG4hR18Hwg2M4+Njm06n50Qxjoh5W05OTmbBu7vVHtS3plLE/24OgguwnNRGdrJPPF5HdGJA6d/Z\nol+eYea67R/XedfxnZ2dWb1uHDx58mSmkWY2N8If136J08LUSPbfLcNYFx+rmQhxm5+vmWMa2JON\nALC+ZEZAbUDNv2vrHGRkRoCun1XrSPu2qLGxzJhdFduQrTtTu/ZMO3v6p/FsyzzI7l+8h1pvNJpr\nhgIsJxgIK4r+Y/eO+Pb2tt27d88+8YlP2N27d+327duzz/b29mwRxcePH9vjx4/t7OxsFoj6cbFD\n7vV4x9hF0Ef9h2E4l4HgI13+hgXPEvCOuQqSvnJxOp3akydP7OjoyG7fvm27u7szgdO1CjY2NmZr\nEURR1oDWDY/j4+NzZkgcLasZCG6auAHhxsWTJ09mZsR0Op0F89FEyLIQYtkAsByo7sbtGRp4tc5r\njY7F9Q3ccPXMsjt37tidO3fsIx/5iL300kszE+HWrVuzcg8ODmx/f98ePXo0y5zSVF7P0NJ1HDQQ\n1wVu49S1WnAfU229XL2ntaC+l32AjgKsJzXNuEwGwtj4TI2BlimaZSLE35pNUKNlml5k5L91/S3U\nGGhlH8DqgIGwwmhHemtry27fvm2vvfaaffKTn7SXX37Z7t69a7u7u7NpAm4AeAaCj9pPJpNZQOrC\n4GmvwzDMne9lxHn/vp7B2dnZLIPB10eYTCZzrq4SXVgfyT84OLDj42O7c+eO3b59e9ZB18BTRSzO\nSdPg+ODgwKbTabrAmF9PfMVlPN8NhOl0Oss62N/ft729vbmsiydPntjOzs5cRoVfY+x8xIcHACw/\n2b9lzSC4bHmeeRCnK9y+fdvu3r1rH/3oR+2VV16xe/fu2csvv2wf+chHZgaC6+OTJ0/s8ePHdv/+\n/XMGQsx4iFPH4ie2xY2MaAy42extNZt/NaWO3GXalwXw8XmjCyz2tBNtBVhvVHtVe2pmZ2ZA6NSs\nqHlZebot6qVrr2YmjDERevqncXF2/bVrj79jfVmGgl4nrB4YCGuAB5dbW1u2u7trr776qr355pv2\n0Y9+1O7evWs7Oztzb0Uws1k6q7/Ka2NjYzZ6Hhcn9EwE36ejQVE8fNvh4aHt7+/PGQhZ+pP/1kyA\ns7MzOzo6sul0OsuKOD09tePj47kFaPStD74tSxPza/EpC3G18tPTUzs8PJwZFFmbzGz29goP4h88\neDC77mF4+gpKD9zdQOiNrGEiACw+teDJ98XfOiqkpmGL2n7Xqzjd7CMf+Yh99KMftTfeeMPeeOON\nmYHgpvHOzs5MB588eWL7+/u2u7s7tzhiXPsgtlMzCmIgGYPpeE1qEGcBdCuA1WdCtqhibf0DRsIA\n1pda5lP8dlSHVZOixmkMV1vXSuuNGQheR7b/otlUreyDVizZ096snvg7TmfOjiMTbDXBQFhhorBt\nbm7ORqVeeukle+WVV+zOnTszQ0D/4U8mE9vd3Z0L8uLif2Y2K9OnIsSU1+ig+vlxLq2fpyJsdj7Y\ni2LrQufptPEND9Hx9fO8jhjEZg6sLqKoQbAunhjPjQG0Gy6lFNvb25uZCW64HBwc2MHBwcy00XpU\nZDXIRoQBFodepz+agLVP7Fj3At1MJ11DYuaBT1P7+Mc/Pvv4Ojc7OzszXfI2uLm8tbU12+Y672u4\nxIUSy4wAACAASURBVLp9cVmdwhC1MMuQiPclaqZuj2VGzXYD2DMhNCss0+hYdnZfa/sBYPkYMxIe\nY8NohtbK0sGcuGh4fPOWx3/aDl23JU7r8m1qeKp+qhFby9LqLU5bu2ct4rNG23iRc2MZDI4tPxgI\nK44Lyubmpu3s7Njt27dnI1P+asQM75jrP34t21fyjtt6LLJojH34tK7TA9o7d+7Mgm+fvpAZCDGz\notUus7aLDAAvHg0yW8fVPr5f3z/uZCNccV/U+Dt37swMhG//9m+3j3/84/aJT3xi7k02fp7Xu7u7\na2Y2l5Xg+8xsbpRfF0/UtFuz+eA1a3fs8GsAH4NgNX7jdLDMPMgWbhwL2gqwGrS0WM1bNW1VB9So\nNTtvIGSaU8ss1SlXtRi7NlAVidsyozm7jux+1NC4c6x5UNuHebBaYCCsKFkKls+R1TcRjC3nebRt\n0WilnTm9joIff/fuXXv99dft7OzM9vf37YMPPrC7d+/a8fGx3b59exbQq4udjeABwHKQjXx7oKqp\n9jqCr6Pv8aNvp3E99ykLd+/etXv37tnrr79u3/It3zLLQHjppZdmGWIZUct8kV1vt3fUp9PpXAfd\nbL5TH8uKWQTxOaNBuga6WSCs91ANg5iRkJkHlzESAGC1Uf2J2+P+qJnxzQma7aTlxt9qFnu2WDQe\nzPJs05rREbdrxkHPxG79HbdnOqz3xrOStU+hxscix/xweTAQ1oRoINQCSRjHGPNgc3NzNkWklGLv\nv//+LMg/OTmZZSdop0AfFgS/AMtNDBDjmjK6DovZvIkQTQOdWxvXPPA3Lty5c2e25oEbCG+88caF\nNN8NhJ2dnbk30/gaMHHkfzqd2sbGxtzbeGJg6yN0LVM2TnXLMjH875j2G7MN4nSGmBmRlQkA64d2\nhLNOvh4fB3Yys0EztDKNzrIaoomgxkK2rkzUvTg9IhoPmYlQuw9Z5kCW1eDbM3MlXm80EfT+qImM\nibB6YCCsAf6P3Uer4lxUuH5cKD3bw181ubu7OwvCb926NZveENPg/HztUADA4hODrmy0pxYUZsFn\nfCWiZiJoBoJPTXvllVfs9ddft9dff91efvnl2dSEsfhiuaUUu3fv3kyvjo6O7Pj42I6Ojuzw8HCm\nbdniWbEDHzMsxty7mNXg58VMA33rQvbmhV56bat+AFgtMhOxl0Y/ZhRfzVI9N8uCqhmaWYdedUyf\nD6qzrUVkNbst1qP3IcuwbZkvmh0XjYPePYTlBgNhhYn/wH3hwthxheePi6uPEnoqsP930M6BpsMh\ntADLRxaE1cyDmIVQG+VpGQi+AKIvjvvGG2/Ya6+9Zrdv3750+zc3N+3ll1+2ra2t2fot/nHzwN9Q\n40ZCnLpgNj9K5teTpefq9IR4vB+r6x3EtRDiXOJML8doKDoLsNxkMa3qTG1agGpvZoDGqaaaIaBr\ntmgZmWGgU8BqJkNmimbPkt5rbDPzIO7raWCWjTA2u+Aqxi4sLhgIK04MOv0VX2QgvFhKKbORwp2d\nHTs5OZmthE56F8DqoiM7Gph68KdTDFQXasZCzEB46aWX7N69e/bKK6/YvXv3zi1wexE2NjZmmVOP\nHj2yvb09e/DggW1vb1dTezXw1XTaTOeyrAwNftVg0E+WeXCRqQsEtACrQa2T3ErZb6Xw+3c0DDJN\nVjKzIhLNA+1UZ/qXlVkzYbW+TN9ipsB16d8YE6H1NywfGAgrROsfsAed2Ssb4cXgmSD+CrUsRRkA\nlo8sVbSWhRBHvnRxRZ3/2spScANhZ2fHdnd37c6dO3b79m27deuWbW1tXVnnvR7PcNDstSyFVhda\nrAWNmdbFbTrHV9c7iJkHtTcvELACrCe1VHtNt8/2OzW9iLG0Gqi6KG78ZEZnPDZuq5kEWTv8nJqR\n2yqnZ7TGNvbaltXXKhuWHwyEFaHX+fTOKwbCi0enkmxtbc29Aqj2AAOA5aJnHvi3B5rRIMhGojTQ\nja9K9KyyaCDcuXPHbt26daXsA8frzgyEaBrE0a/aHNwscM7SfuOxOq9XF0zMMhDi+dm9B4DVRrO1\nsqlg/jsamhqDuY7EN2T5sXHwJy6IGOv1OnQ9l0wHM3Mg6mDNQIjnZ68C1/MvYh7ocWqOq0bHY/Rc\nWE0wEFaQrBMaV+1urYwN148+MKKRow+u2gMllgUAy0H27zXLQvAOcjwmC3zj6Fd8rZi/FeH4+HjW\nwb4unfdMiNhZjwaAb9dzWp16L1PPyYJ4NQ98YUcNxlvaeJ2pugCw+Gg2ga9VoJkCZja3rzWgk426\na3ZYpteZGaxtjHXEa9DryOqPpnJ2zdrBv67sgNrzpabHaPBqgYGwYtT+QZdSZgtusQbCiyc+aNRA\niG54NBpqI5gAsFxoZkEMKmsGQhyhj1oRDQQPet1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      "text/plain": [
       "<matplotlib.figure.Figure at 0x8ee79d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=[18,6])\n",
    "subplot(131); imshow(activity.data[:,:,55],cmap='gray',vmax=180.0); \n",
    "subplot(132); imshow(activity.data[:,55,:],cmap='gray',vmax=180.0); \n",
    "subplot(133); imshow(activity.data[64,:,:],cmap='gray',vmax=180.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
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   },
   "outputs": [],
   "source": [
    "activity.save_to_file('../data/spect/spect_01_reconstruction.nii')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
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   "outputs": [],
   "source": []
  },
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   "cell_type": "code",
   "execution_count": 13,
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   "outputs": [],
   "source": []
  },
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   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
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   "source": []
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   "cell_type": "code",
   "execution_count": null,
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    "collapsed": false
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   "outputs": [],
   "source": []
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   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
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   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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